Land a couple of ion engines then use the engines to:
1) slow it down
2) alter the course
3) spin till it destructs
You'd just be spinning the chunk you broke off. The rest of it would sail on.
!) slowing it down and 2) altering the course are of course the same thing. Spinning it would probably be counterproductive, and wouldn’t accomplish much, not least because all of them are probably already spinning in at least one axis.
Putting a solar-powered high energy laser at one or more of the Earth-Moon libration points would be another way to alter the trajectory without close proximity and using the material of the objects themselves.